I would call your second picture "upper-level dressage." It's big, impressive and unmistakable. A picture of me doing a shoulder-in would be much less impressive, but I still consider myself a dressage rider.
I'm not saying that all riding is dressage or that if you are hacking you are doing dressage. I don't think I'm doing dressage when I go out on trail. But I'm also not going to take offense to someone who wants to learn more about it and try to apply it to what they are doing. Who am I to say that it won't help them?
"My two cents, for what it's worth...
I believe that the PRINCIPLES of dressage create the basis for all good riding. That the principle of a round horse that uses its hind end and accepts contact, etc ad nauseum, is a great baseline for almost any discipline/horse/rider. The balance, correct movement, posture, independent aids, bend.. etc etc.. are fantastic for almost any horse and rider to know.
I practice dressage (or the movements therein and thereof) with an ultimate goal of bettering myself and my horse for the jumper ring. I do plan on competing in dressage as well, but I don't think at this point it is my ultimate goal.
Anyways. As for human athlete examples... Some football players dabble in ballet to improve their football game...."
I can agree with this. It is interchangeable but that doesn't make it any less accurate in my opinion!
Jaydee contribute away! I think its a good conversation.